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Let $f(x) = 2^x.$ Find $\sqrt{f(f(f(f(1))))}.$

 Feb 9, 2019

Best Answer 

 #1
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f(1)=2

f(2)=2^2=4

f(4)=2^4=16

f(16)=2^16

if you take the square root of 2^16, the answer is 2^(16/2)=2^8=16^2=256

 Feb 9, 2019
 #1
avatar+59 
+2
Best Answer

f(1)=2

f(2)=2^2=4

f(4)=2^4=16

f(16)=2^16

if you take the square root of 2^16, the answer is 2^(16/2)=2^8=16^2=256

LOL314jnl Feb 9, 2019

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